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Simulating Hamiltonian dynamics / Benedict Leimkuhler, Sebastian Reich.

By: Contributor(s): Material type: TextTextSeries: Cambridge monographs on applied and computational mathematics ; 14.Publication details: Cambridge, UK ; New York : Cambridge University Press, 2005.Description: 1 online resource (xvi, 379 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 0511080808
  • 9780511080807
  • 9780511614118
  • 051161411X
Subject(s): Genre/Form: Additional physical formats: Print version:: Simulating Hamiltonian dynamics.DDC classification:
  • 515/.39 22
LOC classification:
  • QA614.83 .L45 2005eb
Other classification:
  • 31.44
  • 31.76
  • SK 950
  • MAT 344f
  • MAT 650f
Online resources:
Contents:
1. Introduction -- 2. Numerical methods -- 3. Hamiltonian mechanics -- 4. Geometric integrators -- 5. The modified equations -- 6. Higher-order methods -- 7. Constrained mechanical systems -- 8. Rigid body dynamics -- 9. Adaptive geometric integrators -- 10. Highly oscillatory problems -- 11. Molecular dynamics -- 12. Hamiltonian PDEs.
Summary: Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 357-373) and index.

Print version record.

1. Introduction -- 2. Numerical methods -- 3. Hamiltonian mechanics -- 4. Geometric integrators -- 5. The modified equations -- 6. Higher-order methods -- 7. Constrained mechanical systems -- 8. Rigid body dynamics -- 9. Adaptive geometric integrators -- 10. Highly oscillatory problems -- 11. Molecular dynamics -- 12. Hamiltonian PDEs.

Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises.

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